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A train leaves A at 9 a.m. at 40 km/h for the first hour, and each later hour it runs 10 km/h faster than the hour before. A second train leaves A at 10 a.m. at a steady 75 km/h in the same direction. When does the second draw level with the first?

Competition practiceProblems on Trains
  • A11:30 a.m.
  • B12:30 p.m.
  • C1 p.m.
  • D12 noon

Step-by-Step Solution

First train: 40 km by 10, 90 by 11, 150 by noon. Second: 75 km by 11, 150 by noon. It trailed at 11 (75 < 90) and gains 15 km/h in the next hour → level exactly at noon.
Answer: D) 12 noon

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